I played Beyond the Beyond to completion; Shenmue to near completion; Shenmue 2 for about 2 hours.
Shenmue 2 was one of the worst gaming experiences in recent history. Def Jam Icon, an awful, awful game, at least kept me mesmerized with its interesting awfulness. Shenmue 2 had appalling controls, a horrendous localization, and gameplay that in its best moments (the fighting) was just flat out shoddy. The first game I at least nearly finished (I may have actually completed it. It was a long time ago), Shenmue 2 left such an awful taste in my mouth. I am glad the series killed Sega.